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Finding the Fourth Proportional to 454.36, 680.40 and 412.75

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Solution

The fourth proportional to 454.36, 680.40 and 412.75 is: 618.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.36 : 680.40 = 412.75 : x
  2. Step 2: Convert to fraction form
    454.36/680.40 = 412.75/x
  3. Step 3: Cross multiply
    454.36x = 680.40 × 412.75
  4. Step 4: Simplify right side
    454.36x = 280,832.12
  5. Step 5: Solve for x
    x = 280,832.12/454.36
  6. Step 6: Final answer
    x = 618.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.